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Which of these points lie on both the lines 2x plus 3y equals 12 and 5y equals x plus 7?
2x + 3y = 12
5y = x + 7
Express both equations as functions of x, that is the form y = ..., and find the intersection point.
y = (-2/3)x + 4
y = x/5 + 7/5
(-2/3)x + 4 = x/5 + 7/5
(-2/3)x - x/5 = 7/5 - 4 multiply both sides by the common denominator, 15
-10x - 3x = 21 - 60
- 13x = -39 divide by -13 to both sides
x = 3
To find the value of y, substitute 3 for x in one of the given equations.
y = (-2/3)x + 4
y = (-2/3)(3) + 4
y = -2 + 4
y = 2
Thus, the intersection point (3,2) satisfies both equations, and this point lies on both lines.
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Which of the lines below is the graph of the equation y equals x plus 1?
answer is 1
Are there any solutions to the system of inequalities y equals 2x plus 3 and y equals 2x - 1?
There are no common points for the following two equations: y = 2x + 3 y = 2x - 1 If you graph the two lines, since they have the same slope, they are parallel - they will never cross.
X plus 20 plus 10x equals 20 plus 9x x equals?
x + 20 + 10x = 20 + 9x 11x + 20 = 20 + 9x Subtract 20 from both sides: 11x = 9x Subtract 9x from both sides: 2x = 0 Divide both sides by 2: x = 0
What best describes the relationship between line 6x - 2y equals 1 and line x plus 3y equals 12?
The lines are perpendicular, and intersect at the point (1.35, 3.55) .
What is the answer for 2x plus 3y equals 3?
There are infinitely many answers and they comprise the coordinates of all points on the line that satisfy the equation.
Are the graphs of the lines in the pair parallel Explain y equals 4x plus 6 -15x plus 3y equals -45?
No because the slope in both lines have different values
Are the lines parallel y equals 2x plus 5 and y equals 2x?
Yes, they're parallel lines. Both slopes are 2.
Is y equals 5x plus 1 and y equals 5x are the lines parallel yes or no?
The slope is ' 5 ', so both lines MUST be parallel.
When graphed are the lines y equals 8x plus 4 and y equals 8x parallel perpendicular or neither?
The slope of both lines is 8. So they're parallel.
What type of lines are these x plus 2y equals 7 and 2x plus 4y equals 21?
They are parallel lines.
What type of lines are these y equals 2x plus 4 and x plus 2y equals 12?
They are straight lines.
Which type of lines are 4x plus 6y equals 12 and 2x plus 3y equals -6?
They are parallel lines.
What kind of lines are y equals 2X plus 4 and X plus 2Y equals twelve?
The lines are mutually perpendicular.
What is the solution of the system 2x plus 3y equals 2 and 4x plus 6y equals 4?
That system of equations has no solution. When the two equations are graphed, they turn out to be the same straight line, so there's no such thing as a single point where the two lines intersect. There are an infinite number of points that satisfy both equations.
What type of lines are these y equals 2x plus 4 and 2y equals -4 plus 10?
parallel
Do y equals 2x-1 and y equals 2x plus 1 have the same lines?
The lines are parallel, but not the same.
Whadt type of lines are these x-3y equals -3 and 6x plus 2y equals -12?
Perpendiculat straight lines.
